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balu736 [363]
3 years ago
15

The table below shows some inputs and outputs of the invertible function f etc ​

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

(a)\ f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)=0

Step-by-step explanation:

Given

The attached table

(a)\ f^{-1}(-15)

This represents an inverse function.

So, we look into x row for its value.

i.e.

f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)

Just like (a)

f^{-1}(4) = -11 ---- by looking into the x rows

f(9) = 11

So:

f^{-1}(4) + f(9)=-11 + 11

f^{-1}(4) + f(9)=0

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A cake has a circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate pi
Novosadov [1.4K]
To calculate for area given the circumference we proceed as follows:
C=2πr
where:
r=radius
thus given that C=25 1/7 in=176/7
thus plugging in our formula to solve for r we get:
176/7=2πr
thus
r=4.002~4.00 in
hence the area will be:
A=πr²
A=π×(4²)
A=50 2/7 in²


7 0
4 years ago
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
sleet_krkn [62]

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

3 0
3 years ago
The numbers of pencils in joes backpack is 5 more than the number of pencils in sara's backpack.if joe has 8 pencils in his back
Basile [38]
The answer would be 3 more

7 0
3 years ago
As an estimation we are told £3 is €4. Convert £34.50 to euros.
Andre45 [30]

Answer:

46 euros

Step-by-step explanation:

£30 = 40 euros

4.50 = £3 and £1.50

£3 = 4 euros

1.50 = 2 euros because you half the 4 euros because half of 3 is 1.50

hope this helps if not sorry  

3 0
3 years ago
Read 2 more answers
What is the value of the expression 24 – (7 + 5) ÷ 6 + 8?
Ierofanga [76]

Answer:

30

Step-by-step explanation:

following the bodmas rule

we will get the answer 30

4 0
3 years ago
Read 2 more answers
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